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Finding the Third Proportional to 182.67 and 262.62

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Solution

The third proportional to 182.67 and 262.62 is: 377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.67 : 262.62 = 262.62 : x
  2. Step 2: Convert to fraction form
    182.67/262.62 = 262.62/x
  3. Step 3: Cross multiply
    182.67x = 262.62 × 262.62
  4. Step 4: Simplify right side
    182.67x = 68,967.79
  5. Step 5: Solve for x
    x = 68,967.79/182.67
  6. Step 6: Final answer
    x = 377.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.